{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "os.sys.path.append(os.path.dirname(os.path.abspath('.')))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据准备"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "from preprocessing.StandardScaler import StandardScaler\n",
    "\n",
    "centers = [[1, 1], [-1, -1], [1, -1]]\n",
    "X, Y = make_blobs(n_samples=750, centers=centers, cluster_std=0.4,\n",
    "                            random_state=0)\n",
    "X = StandardScaler().fit_transform(X)\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.clf()\n",
    "plt.scatter(X[:,0],X[:,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 模型基础\n",
    "为了便于计算，该算法的代码依赖于一个计算样本点之间欧氏距离的函数，详见```..\\metrics\\pairwise\\euclidean_distances.ipynb```。为了方便起见，notebook的示例代码以sklearn中的同名函数为例子。\n",
    "\n",
    "首先计算出训练数据中两两样本对的欧氏距离，并根据该距离计算所有样本点的密度："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from metrics.pairwise.euclidean_distances import euclidean_distances\n",
    "\n",
    "eps = 0.3    # 邻域距离\n",
    "MinPts = 10    # 形成簇所需的最小样本数\n",
    "\n",
    "dist_mat = euclidean_distances(X)    # 两两样本点之间的欧氏距离\n",
    "\n",
    "dens_arr = list()    # 密度数组\n",
    "for row in dist_mat:\n",
    "    dens = np.sum(row <= eps)    # 计算密度\n",
    "    dens_arr.append(dens)\n",
    "dens_arr = np.array(dens_arr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由算法定义不难得到一个性质，密度相连的所有**核心**对象肯定属于同一类，所以在遍历样本点时，如果某一核心对象邻域中的另一核心对象已被分类，那么该邻域内的核心对象也属于该类。在实现时可以使用一个队列来存储密度相连的核心对象，每次取出一个核心对象分析：邻域中的核心对象加入队列，邻域中的边界点进行归类，实质上就是一个BFS搜索。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "visited_arr = [False for _ in range(len(X))]    # 访问标记数组\n",
    "labels = [-1 for _ in range(len(X))]    # 所属类别\n",
    "k = -1    # 第几个类别，初始默认所有样本点均为噪声点\n",
    "\n",
    "# 遍历样本点\n",
    "for idx in range(len(X)):\n",
    "    if visited_arr[idx]:    # 已被访问则跳过\n",
    "        continue\n",
    "\n",
    "    visited_arr[idx] = True\n",
    "\n",
    "    if dens_arr[idx] == 1 or dens_arr[idx] < MinPts:    # 噪声样本或边界样本\n",
    "        continue\n",
    "\n",
    "    else:    # 核心对象\n",
    "        # 访问队列，会在循环中对其进行修改\n",
    "        cores_q = [i for i in range(\n",
    "            len(X)) if dist_mat[i, idx] <= eps and dens_arr[i] >= MinPts]\n",
    "        k += 1    # 新建类别\n",
    "        labels[idx] = k     # 为当前核心对象赋予类别\n",
    "\n",
    "        while cores_q:    # BFS式访问密度相连的核心对象\n",
    "            cur_core = cores_q.pop(0)\n",
    "\n",
    "            # 对未被访问的核心对象操作，已被访问的核心直接跳过\n",
    "            if not visited_arr[cur_core]:\n",
    "                visited_arr[cur_core] = True\n",
    "                labels[cur_core] = k\n",
    "\n",
    "                neighbors = [i for i in range(\n",
    "                    len(X)) if dist_mat[i, cur_core] <= eps]    # 邻域内的所有样本点\n",
    "                neighbor_cores = [\n",
    "                    i for i in neighbors if i not in cores_q and dens_arr[i] >= MinPts]    # 邻域内的所有核心对象\n",
    "                neighbor_boards = [\n",
    "                    i for i in neighbors if dens_arr[i] < MinPts]    # 邻域内的所有边界样本\n",
    "\n",
    "                # 核心点加入队列等待访问\n",
    "                cores_q.extend(neighbor_cores)\n",
    "\n",
    "                # 边界点进行归类\n",
    "                for node_idx in neighbor_boards:\n",
    "                    if labels[node_idx] == -1:\n",
    "                        labels[node_idx] = k"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "plt.scatter(X[:,0],X[:,1],c=labels)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "dbscan=DBSCAN(eps=0.3, min_samples=10)\n",
    "dbscan.fit(X)\n",
    "sk_labels=dbscan.labels_\n",
    "\n",
    "plt.clf()\n",
    "plt.scatter(X[:,0],X[:,1],c=sk_labels)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 优化\n",
    "类似于KNN算法，该算法可使用K-D树进行优化。有了能快速查找邻居的KD树，那么就可以免去计算pair-wise的距离矩阵了。```scipy```中的KD树使用示例如下所示："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[283,\n",
       " 736,\n",
       " 30,\n",
       " 69,\n",
       " 377,\n",
       " 745,\n",
       " 103,\n",
       " 233,\n",
       " 207,\n",
       " 291,\n",
       " 339,\n",
       " 617,\n",
       " 716,\n",
       " 28,\n",
       " 38,\n",
       " 73,\n",
       " 230,\n",
       " 295,\n",
       " 601,\n",
       " 628,\n",
       " 0,\n",
       " 33,\n",
       " 226,\n",
       " 255,\n",
       " 425,\n",
       " 572,\n",
       " 585,\n",
       " 724,\n",
       " 91,\n",
       " 290,\n",
       " 511,\n",
       " 513,\n",
       " 627,\n",
       " 665,\n",
       " 719,\n",
       " 408,\n",
       " 527,\n",
       " 530,\n",
       " 188,\n",
       " 210,\n",
       " 269,\n",
       " 300,\n",
       " 333,\n",
       " 348,\n",
       " 587,\n",
       " 692,\n",
       " 249,\n",
       " 310,\n",
       " 578,\n",
       " 118,\n",
       " 309,\n",
       " 364,\n",
       " 478,\n",
       " 484,\n",
       " 714]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from scipy.spatial import KDTree\n",
    "kd_tree=KDTree(X)\n",
    "\n",
    "kd_tree.query_ball_point(X[0],0.3)    # 找出距X[0]不超过0.3的所有样本的索引"
   ]
  }
 ],
 "metadata": {
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
